Q3 of 60 Page 23

For the polynomial

(i) the degree of the polynomial


(ii) the coefficient of x3


(iii) the coefficient of x6


(iv) the constant term

The given polynomial is



(i) the degree of the polynomial is 6 as the highest power of the variable x in the given polynomial is 6.


(ii) the coefficient of x3 is 1/5 in the given polynomial as the given polynomial can be re-written as



(iii) the coefficient of x6 is – 1


(iv) the constant term is 1/5 as it has no variable x with it.


More from this chapter

All 60 →
1

Classify the following polynomials as polynomials in one variable, two variables etc.

(i) x2 + x + 1


(ii) y3 – 5y


(iii) xy + yz + zx


(iv) x2 – 2xy + y2 + 1

 2

Determine the degree of each of the following polynomials:

(i) 2x – 1


(ii) –10


(iii) x3 – 9x + 3x5


(iv) y3 (1 – y4)

 4

Write the coefficient of x2 in each of the following:

(i)


(ii) 3x – 5


(iii) (x –1) (3x – 4)


(iv) (2x – 5) (2x2 – 3x + 1)

 5

Classify the following as a constant, linear, quadratic and cubic polynomials:

(i) 2 – x2 + x3 (ii) 3x3


(iii) 5t – √7 (iv) 4 – 5y2


(v) 3 (vi) 2 + x


(vii) y3 – y (viii) 1 + x + x2


(ix) t2 (x) √2x – 1